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Determine for what values of c, f(x)=4x^2-(2c+8)x+4 has no real roots.

For f(x) not to have any real roots, its discriminant, b²-4ac < 0. Plugging in the coefficients from f(x), this means (-(2c+8))²-4x4x4 < 0.This means (-(2c+8))² <...

Answered by Alexander R. • Maths tutor

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The sides of a rectangle are x and (x+2), where x>0 the area of the rectangle is 8, what is the value of x?

X*(X+2) = 8X² + 2X = 8X² +2x-8=0S 2P -8N 4, -2(X+4)(X-2)X=-4 X=2X can only be positive in this case so X=2

Answered by George G. • Maths tutor

3002 Views

If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?

Distance, s = 6m ; initial speed, u = 0 m/s ; final speed, v = v m/s ; acceleration, a = 9.8 m/s (g) ; time, t = t sTime:s = ut + 0.5at² , 6 = 0 + (0.5 x 9.8)t² , 6 = 4.9t²

Answered by Rebecca R. • Maths tutor

4679 Views

Given ∫4x^3+4e^2x+k intergrated between the bounds of 3 and 0 equals 2(46+e^6). Find k.

Sorry I couldn't write the question properly in the question box. The question should read:Given ∫³₀4x³+4e^2x+k dx = 2(46+e⁶)Find K.Step 1- Intergrate...

Answered by Charlie M. • Maths tutor

6150 Views

Find the x value of the stationary points of the graph y = x^2e^x

The problem here can be solved quite easily by thinking about the graph. A stationary point occurs on a graph when it becomes 'flat'. You can think of this visually as the top of a hill or the bottom of a...

Answered by Serkan M. • Maths tutor

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